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Finding the Fourth Proportional to 21,099.83, 31,634.01 and 12,778.02

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Solution

The fourth proportional to 21,099.83, 31,634.01 and 12,778.02 is: 19,157.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,099.83 : 31,634.01 = 12,778.02 : x
  2. Step 2: Convert to fraction form
    21,099.83/31,634.01 = 12,778.02/x
  3. Step 3: Cross multiply
    21,099.83x = 31,634.01 × 12,778.02
  4. Step 4: Simplify right side
    21,099.83x = 404,220,012.46
  5. Step 5: Solve for x
    x = 404,220,012.46/21,099.83
  6. Step 6: Final answer
    x = 19,157.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.